Inverse three-dimensional variational data assimilation for an advection-diffusion problem: Impact of diffusion and hybrid application

Details Inverse three-dimensional variational data assimilation for an advection-diffusion problem: Impact of diffusion and hybrid application Inverse three-dimensional variational data assimilation for an advection-diffusion problem: Impact of diffusion and hybrid application

Feb 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004georl..3104102p&link_type=abstract

Geophysical Research Letters, Volume 31, Issue 4, CiteID L04102

Computer Science

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1

Meteorology And Atmospheric Dynamics: Numerical Modeling And Data Assimilation, Meteorology And Atmospheric Dynamics: Theoretical Modeling, Meteorology And Atmospheric Dynamics: Mesospheric Dynamics

Scientific paper

In this study, the performance of inverse three-dimensional variational assimilation (I3D-Var) is investigated in terms of dissipation process for an advection-diffusion problem. The performance of I3D-Var becomes poorer with larger diffusion coefficients. However, even for strong dissipation, the cost function during early iterations in the I3D-Var decreases still much faster than it does in the standard four-dimensional variational assimilation (4D-Var). Based on this observation a hybrid approach that combines the I3D-Var and the 4D-Var is suggested to accelerate the performance of 4D-Var. Application of this hybrid method demonstrates that the I3D-Var can serve as a preconditioner for carrying minimization in the full 4D-Var framework. Using the initial conditions obtained through the I3D-Var, the 4D-Var showed much faster convergence in minimizing the cost function.

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